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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=S3

Direct product G=N×Q with N=Q8⋊C4 and Q=S3
dρLabelID
S3×Q8⋊C496S3xQ8:C4192,360

Semidirect products G=N:Q with N=Q8⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
Q8⋊C4⋊1S3 = Q8⋊C4⋊S3φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:1S3192,359
Q8⋊C4⋊2S3 = D6⋊2SD16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:2S3192,366
Q8⋊C4⋊3S3 = D6⋊1Q16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:3S3192,372
Q8⋊C4⋊4S3 = D6⋊Q16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:4S3192,368
Q8⋊C4⋊5S3 = Q8⋊4D12φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:5S3192,369
Q8⋊C4⋊6S3 = D6.Q16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:6S3192,370
Q8⋊C4⋊7S3 = D6⋊C8.C2φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:7S3192,373
Q8⋊C4⋊8S3 = D12.12D4φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:8S3192,378
Q8⋊C4⋊9S3 = Dic6.11D4φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:9S3192,357
Q8⋊C4⋊10S3 = D6.1SD16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:10S3192,364
Q8⋊C4⋊11S3 = Q8⋊3D12φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:11S3192,365
Q8⋊C4⋊12S3 = Q8.11D12φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:12S3192,367
Q8⋊C4⋊13S3 = C8⋊Dic3⋊C2φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:13S3192,374
Q8⋊C4⋊14S3 = Dic3⋊SD16φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:14S3192,377
Q8⋊C4⋊15S3 = (C2×C8).D6φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:15S3192,353
Q8⋊C4⋊16S3 = (S3×Q8)⋊C4φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:16S3192,361
Q8⋊C4⋊17S3 = Q8⋊7(C4×S3)φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:17S3192,362
Q8⋊C4⋊18S3 = C3⋊(C8⋊D4)φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:18S3192,371
Q8⋊C4⋊19S3 = C3⋊C8.D4φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:19S3192,375
Q8⋊C4⋊20S3 = Q8⋊3(C4×S3)φ: S3/C3 → C2 ⊆ Out Q8⋊C496Q8:C4:20S3192,376
Q8⋊C4⋊21S3 = Dic3⋊7SD16φ: trivial image96Q8:C4:21S3192,347
Q8⋊C4⋊22S3 = C4⋊C4.150D6φ: trivial image96Q8:C4:22S3192,363

Non-split extensions G=N.Q with N=Q8⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
Q8⋊C4.1S3 = Dic3.1Q16φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.1S3192,351
Q8⋊C4.2S3 = Q8⋊3Dic6φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.2S3192,352
Q8⋊C4.3S3 = Dic3⋊Q16φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.3S3192,354
Q8⋊C4.4S3 = Q8.3Dic6φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.4S3192,355
Q8⋊C4.5S3 = Q8⋊2Dic6φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.5S3192,350
Q8⋊C4.6S3 = Q8.4Dic6φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.6S3192,358
Q8⋊C4.7S3 = C3⋊Q16⋊C4φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.7S3192,348
Q8⋊C4.8S3 = (C2×Q8).36D6φ: S3/C3 → C2 ⊆ Out Q8⋊C4192Q8:C4.8S3192,356
Q8⋊C4.9S3 = Dic3⋊4Q16φ: trivial image192Q8:C4.9S3192,349

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